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Finding the Fourth Proportional to 865.72, 1,297.84 and 346.11

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Solution

The fourth proportional to 865.72, 1,297.84 and 346.11 is: 518.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    865.72 : 1,297.84 = 346.11 : x
  2. Step 2: Convert to fraction form
    865.72/1,297.84 = 346.11/x
  3. Step 3: Cross multiply
    865.72x = 1,297.84 × 346.11
  4. Step 4: Simplify right side
    865.72x = 449,195.40
  5. Step 5: Solve for x
    x = 449,195.40/865.72
  6. Step 6: Final answer
    x = 518.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.